Search a number
-
+
572672672 = 251121331367
BaseRepresentation
bin100010001000100…
…100101010100000
31110220120210012222
4202020210222200
52133101011142
6132454210212
720122431425
oct4210445240
91426523188
10572672672
11274293500
1213b953968
139184b290
14560b1d4c
1535420bd2
hex22224aa0

572672672 has 144 divisors (see below), whose sum is σ = 1381395456. Its totient is φ = 231897600.

The previous prime is 572672671. The next prime is 572672677. The reversal of 572672672 is 276276275.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (572672671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1560233 + ... + 1560599.

It is an arithmetic number, because the mean of its divisors is an integer number (9593024).

Almost surely, 2572672672 is an apocalyptic number.

572672672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 572672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690697728).

572672672 is an abundant number, since it is smaller than the sum of its proper divisors (808722784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

572672672 is a wasteful number, since it uses less digits than its factorization.

572672672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its digits is 493920, while the sum is 44.

The square root of 572672672 is about 23930.5802687691. The cubic root of 572672672 is about 830.4283229809.

The spelling of 572672672 in words is "five hundred seventy-two million, six hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 88 104 121 124 143 176 208 242 248 286 341 352 367 403 416 484 496 572 682 734 806 968 992 1144 1364 1468 1573 1612 1936 2288 2728 2936 3146 3224 3751 3872 4037 4433 4576 4771 5456 5872 6292 6448 7502 8074 8866 9542 10912 11377 11744 12584 12896 15004 16148 17732 19084 22754 25168 30008 32296 35464 38168 44407 45508 48763 50336 52481 60016 64592 70928 76336 88814 91016 97526 104962 120032 125147 129184 141856 147901 152672 177628 182032 195052 209924 250294 295802 355256 364064 390104 419848 500588 577291 591604 710512 780208 839696 1001176 1154582 1183208 1376617 1421024 1560416 1626911 1679392 2002352 2309164 2366416 2753234 3253822 4004704 4618328 4732832 5506468 6507644 9236656 11012936 13015288 17896021 18473312 22025872 26030576 35792042 44051744 52061152 71584084 143168168 286336336 572672672